Answered: b = 1.9552 m²/s 2.0206 y = 1.1 m V?…

Engineering

Mechanical Engineering

b = 1.9552 m²/s 2.0206 y = 1.1 m V? ---- 1.7308 m2/s 1.7978 y = 1.0 m x= 1.5 m x= 1.6 m

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter6: Forced Convection Over Exterior Surfaces

Section: Chapter Questions

Problem 6.34P

See similar textbooks

Related questions

Q: Velocity field of an incompressible flow is given by V = 6xi − 6yj (m/s) a) Find the pathlines in…

A: Introduction:

Q: d flow is represented by the velocity = 2xi + 4yj . The equation of stream line paSSI gh a point (2,…

Q: Consider a three-dimensional, steady velocity field given by V = (u, v, w) = (3.2 + 1.4x)ï + (2.4 –…

A: Write the expression of velocity field. V=3.2+1.4xi+2.4-2.1yj+wk Write the components of…

Q: Consider the two-dimensional velocity field given by V = (5+ a1x +b1y)i + (4 + azx + b2y)j, where…

A: Given, Two dimensional velocity field = V → = (5 + a1x + b1y) i^ + (4 + a2 x + b2 y) j^ From…

Q: A fluid has a velocity field defined by u = x + 2y and v = 4 - y. In the domain where x and y vary…

A: Since you have posted a multiple independent question, we will solve first question for you. To get…

Q: 2. In a two dimensional incompressible fluid flow, the velocity components are given by: u=(x-4y)…

Q: Consider a sphere of radius R immersed in a uniform stream Uo, as shown in Fig. P4.7. According to…

A: The given velocity function is The acceleration of the fluid can be calculated as,

Q: The stream function in a two-dimensional flow field is given by y = x2 – y?. Then the magnitude of…

A: Given, Stream function = Ψ = x2 - y2 Velocity in x-direction can be given by, u = - ∂ψ∂y= -∂∂y x2…

Q: Q3/ Prove that in a two dimensional fluid flow, the stream function: -xy is harmonic. = zk+zx

A: Given dataStream function φ=-xyx2+y2To prove the given stream function is harmonic in two…

Q: A stream function is given by y = (x: %3D The Velocity potential function () o

A: Given:Stream function,ψ=x2-y2

Q: Circulation and vorticity 1- Determine whether the continuity equation is satisfied by the following…

Q: For the flow field described by u = 2, v = yz2t, w = −z3t/3. (a) Is this flow one-, two-, or…

A: Since you have asked question with multiple parts we will answer first two parts for you. Part…

Q: For an Eulerian flow field described by u = 2xyt, v = y3x/3, w = 0: (a) Is this flow one-, two-, or…

Q: The stream function is given by y =-4xy. Then the magnitude of velocity at point (2,4) m/s.

A: Given Stream function = -4xy Point = 2,4 Find Magnitude of velocity, V

Q: 1. If u = 3x*yt and v = -6x°y´t" answer the following questions giving reasons, Is this flow or…

A: In Eulerian approach of study of fluid particles certain region in space is taken as observable…

Q: 1. If u 3x*yt and v- -6x'y*t° answer the following questions giving reasons, Is this flow or fluid:…

A: a. if the flow satisfy the continuity equation then it said to be possible flow ∂u∂x+∂v∂y=0…

Q: Using cartesian coordinates, show that each velocity component(u, υ, w) of a potential flow…

A: Given Data: The velocity component is given as u,v,w. Let the potential function ϕ be, ϕ=fx,y,z,t…

Q: Consider the flow represented by the stream function p = 2x²y – 3y. What are the velocity…

A: The stream function of the flow is given as, Ψ=2x2y-3y3

Q: Define two-dimensional stream function and velocity potential. Show that following stream function :…

Q: Q3 (a) The compressible form of the continuity equation is (ap/at) + V.(pV) = 0 Expand this equation…

Q: Consider the steady, two-dimensional velocity field given by V-› = (u, ?) = (1.6 + 2.8x) i-› + (1.5…

A: Given data: The two dimensional component, (u,v) = (1.6+2.8x)i + (1.5-2.8y)j. The condition for…

Q: 2. The velocity field of a flow in cylindrical coordinates (r, 0, z) is u, = 0, ue = arz, u, = 0 %3D…

A: Solution: Given Data: The required parts (a), (b) and (c) are determined below:

Q: A potential steady and incompressible air flow on x-y plane has velocity in y-direction v= - 6 xy .…

A: From given information:

Q: Q5: A/ Consider the flow field given in Eulerian description by the expression q =( x+2y+a )i…

A: GIVEN DATA - A VELOCITY FIELD GIVEN WE HAVE TO FIND Z-COMPONENT OF VELOCITY

Q: Consider the following steady, two-dimensional velocity field: V-›= (u, ? ) =…

A: The given velocity field is: At stagnation point, the velocity of fluid must be zero. Therefore,

Q: A velocity field is described by: u =1.1+2.8x +0.65y v = 0.98–2.1r– 2.8y What are ax, ay for this…

A: Given, The velocity components u=1.1+2.8x+0.65yv=0.98-2.1x-2.8y Finding the partial derivatives…

Q: What is the most general form of a purely radial polarcoordinate incompressible flow pattern, υ r =…

Q: A two-dimensional incompressible flow field is defined by the velocity components u= 2V(플 - v = -2v2…

A: Given Data: The x-component of velocity is u=2VxL-yL The y-component of velocity is v=-2VyL Let…

Q: 1. Consider a three-dimensional steady incompressible flow with components: u=-x(y+2), v= y²,…

A: u = -x(y+z)v = y2w = 12z2 -2yz

Q: For the flow field given in Cartesian coordinates by u = 2xt + y, v = −2yt, w = 0: (a) Is the…

A: Given Data Velocity in x direction, u = 2xt + y, Velocity in y direction, v = −2yt, Velocity in z…

Q: Do the following velocity components represent physically possible flows ? u =x + z? + 5, v = y² +…

A: The feasibility of a fluid flow can be determined using the Continuity Equation, which is…

Q: Consider the following steady, two-dimensional velocity field: V = (u, v) = (0.5 + 1.2x)i + (-2.0 –…

A: Given is V → = (0.5+1.2x)i + (-2.0-1.2y)j To find Location of the stagnation point

Q: The stream function for a two-dimensional incompressible flow field is y = - 2(x-y), what is the…

A: given; →stream function (ψ)=-(x-y)→velocity potential function(ϕ)=?

Q: Establish the equation of continuity for an incompressible fluid in the form V.V = 0 , V(u, v, w)…

Q: Consider a flow field represented by the stream function ψ = (4+9) x3y - (6+9) x2y2 + (4+9) xy3. Is…

A: as given , ψ=13x3y-15x2y2+13xy3 We know that , velocity component from the stream function can be…

Q: The velocity flow field in a steady non-uniform flow is represented by the following equation,…

Q: 1. If u = 3x*yt and v = -6x°y´t´ answer the following questions giving reasons, Is this flow or…

A: The velocities along x and y axis are given as a function of space and time. Given problem belongs…

Q: Velocity components u = (Axy3 – x²y), v = xy² . 3. possible flow field involving steady…

Q: Consider the following velocity potential for two-dimensional flow: $ = 2x – x² + y² a. Show that…

A: Given:Velocity function,φ=2x-x2+y2

Q: For incompressible polar coordinate flow, what is the mostthe general form of a purely circulatory…

A: The general expression for the continuity equation in the polar coordinates is Here, r: radius vr:…

Q: Question 3 Consider the two-dimensional incompressible velocity potential O = xy + x? – y² a) Show…

Q: For the velocity field in u = Ax , υ = By , and w = Cxy , the convectiveacceleration in the…

A: To find out the convective acceleration in the x-direction ax=ududx+vdudy+dudt

Q: The stream function for a two-dimensional incompressible flow is ax? ay? + bxy – 2 2 Where a, and b…

Q: Consider the following steady, three-dimensional velocity field: V-›= (u, ? ,…

A: V⇀=(2.5+2x-y)i+(2x-2y)j+(0.8xy)kVorticity vectorζ=(δωδy-δvδz)i+(δuδz-δwδx)j+(δvδx-δuδy)k u=2.5+2x-y…

Q: The stream function for a two-dimensional incompressible flow is

Q: Find the stream function associated with the two-dimensional incompressible, possible flow with…

Q: Two velocity components of a steady, incompressible flow field are given as follows; u = 2ax + bxy +…

Q: The compressible form of the continuity equation is (ap/ət) + V.(pV) = 0 Expand this equation in…

Q: Let the flow of a fluid of density ρ = 1000 kg m^-3 defined by the velocity field v = xy i + yz j +…

A: Irrotational Flow Note : What Is Asked Is Not Clear.

Concept explainers

Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.

Question

A CFD model of steady two-dimensional incompressible
fl ow has printed out the values of stream function ψ ( x , y ), in
m ² /s, at each of the four corners of a small 10-cm-by-10-cm
cell, as shown in Fig. P4.70. Use these numbers to estimate the resultant velocity in the center of the cell and its angle
α with respect to the x axis.

b = 1.9552 m²/s
2.0206
y = 1.1 m
V?
----
1.7308 m2/s
1.7978
y = 1.0 m
x= 1.5 m
x= 1.6 m

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Answer is: V = 14.17 ft/s
Water ( density 1000kg/m3) flows downward naturally through a vertical pipeline of diameter D=25 cm and length L= 100 m . Determine the pressure gradient causing flow ( USE π = 3 ; g = 10 m2/s ) ANSWER: 10 kPa/m (Although I wrote this is the answer under the question in some of the questions I posted before. Different answers were found from the answer. The exact answer to this question is 10kPa / m.)
The system consists of 1200 m of 5 cm cast iron pipe, two 45° and four 90° flanged long-radius elbows, a fully open flanged globe valve, and a sharp exit into a reservoir. If the elevation at point 1 is 400 m, what gage pressure is required at point 1 to deliver 0.005 m3/s of water into the reservoir? Use the following: v = 1 x 10-6 m2/s Kentrance = 0.5 Kexit = 1 Kvalve = 6.9 f = 0.0316 γ = 9810 N/m3 Choices: 3.44 Mpa 1.02 MPa 3.48 Mpa 1.00 MPa None of the choices
An orifice having an area of 0.0003 m² is located on the vertical side of a tank. The tank has a constant cross sectional area of 0.40 m². It takes 312 seconds to lower the head from 1.20 m to 0.60 m. Using c=0.60, which of the following most nearly gives the head in meter after 240 seconds from an initial head of 1.20m?
Discuss the similarities and contrasting features in the derivations of the following equations: Piezometric head Euler's eq Bernoulli's eq Energy eq
A pipe with unequal ends is used to transport a fluid. The pipe diameter at the larger end is 0.67 cm and the other end is 0.29 cm. The larger and smaller ends are located 9 m and 3 m, respectively, from the datum line. If the flow at the 9 m datum line is 1.48 m/s and the pressure is 5156 kN/m2, compute for the pressure, in kPa, at the smaller end. Express your answer in 3 decimal places.
The horizontal tube is 1 m long and 10 cm in diameter and is filled with a sample material. During a test, the upstream head h, falls from 200 to 180 cm in 4 hr, while h₂ is held constant at 15 cm. The diameter of vertical tube in which h, is measured is 40 cm. What is the indicated average hydraulic conductivity?
Q 1(a) Use the below given data and calculate the metacentric height. Note: Explain each and every step. w= 200g W=2533.2g Displacement x (mm) 80 60 40 20 0 20 40 60 80 Tilt angle Ɵ (degree) 9.5 7.5 5.5 3 3 5.5 7.5 9.5 M.H (b) By using U-tube manometer how can you find out the pressure head? (c) If you are lacking of equipment, how can you determine the discharge of any channel?
Flow takes place between three reservoirs, as shown in Figure 1. The volume flow rateout of reservoirs A and B is 0.15 m3/s and 0.25 m3/s respectively. If the coefficient offriction for the three pipes is 0.008, determine the relative elevations of the freesurfaces. Neglect all losses other than friction. PLEASE USE THE BERNOULLI EQUATION L1 = 1000 m D1 = 200 mmL2 = 1500 m D2 = 250 mmL3 = 2000 m D3 = 400 mm
The diameter of the ball is 30 cm as shown in the figure. Calculate the river current velocity [m/s]. (NOTE: Neglect the weight of the cable. SGBALL = 0,20 PWATER = 1000 KG/M3 CD,BALL=0,12
3. What is the volumetric flow rate between two plates if the top plate is pulled, while keeping the bottom plate stationary, and simultaneously imposing pressure p0 on the left endof the channel, and pressure p0 + ∆p (∆p > 0) on the right end of thechannel.
The penstock of hydroelectric turbine is 0.5m x 0.5m with velocity of 5.5m/s and head of 20m. What is the output of the turbine if the turbine efficiency is 92%?